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Fractal Characterization On Three-Dimensional Fractur Tortuosity In Coal Based On Ct Scanning

Author

Listed:
  • ZHEN ZHANG

    (School of Resources and Environment, Henan Polytechnic University, Jiaozuo 454003, P. R. China)

  • GAOFENG LIU

    (School of Resources and Environment, Henan Polytechnic University, Jiaozuo 454003, P. R. China‡Collaborative Innovation Center of Coalbed Methane and Shale Gas for Central Plains Economic Region, Henan Province, Henan Polytechnic University, Jiaozuo 454003, P. R. China)

  • XIAOMING WANG

    (��Key Laboratory of Tectonics and Petroleum Resources, China University of Geosciences, Wuhan 430074, P. R. China)

  • MINGSHI WANG

    (School of Resources and Environment, Henan Polytechnic University, Jiaozuo 454003, P. R. China)

  • BAOLIN LI

    (School of Resources and Environment, Henan Polytechnic University, Jiaozuo 454003, P. R. China)

  • HUAN LIU

    (School of Resources and Environment, Henan Polytechnic University, Jiaozuo 454003, P. R. China)

Abstract

This paper proposed a method for the fractal characterization of the three-dimensional (3D) fracture tortuosity (DT3) in coal based on CT scanning experiment. The methodology was deduced in detail, and the values of DT3 of four coal samples were calculated by the rigorous derivation equation established by Feng and Yu. The values of DT3 by the proposed method fit the relation of DT3 versus the fractal dimension for 3D fracture number Df3, and the relation of DT3 versus the 3D fracture porosity, indicating the rationality and accuracy of the proposed method on estimation of the DT3. The results show that the proposed DT3 can comprehensively character the fractal characteristics of fractures tortuosity in 3D space. It is worth to further study for establishing an analytical fractal equation for fluid mass transfer in 3D fractures of porous media based on the DT3.

Suggested Citation

  • Zhen Zhang & Gaofeng Liu & Xiaoming Wang & Mingshi Wang & Baolin Li & Huan Liu, 2023. "Fractal Characterization On Three-Dimensional Fractur Tortuosity In Coal Based On Ct Scanning," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(05), pages 1-13.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:05:n:s0218348x23500342
    DOI: 10.1142/S0218348X23500342
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